4224113320 has 256 divisors, whose sum is σ = 11786342400. Its totient is φ = 1331527680.

The previous prime is 4224113287. The next prime is 4224113321. The reversal of 4224113320 is 233114224.

It is a junction number, because it is equal to n+sod(n) for n = 4224113291 and 4224113300.

It is not an unprimeable number, because it can be changed into a prime (4224113321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24416754 + ... + 24416926.

It is an arithmetic number, because the mean of its divisors is an integer number (46040400).

Almost surely, 2^4224113320 is an apocalyptic number.

4224113320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4224113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5893171200).

4224113320 is an abundant number, since it is smaller than the sum of its proper divisors (7562229080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4224113320 is a wasteful number, since it uses less digits than its factorization.

4224113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4224113320 is about 64993.1790267256. The cubic root of 4224113320 is about 1616.5104637168.

Adding to 4224113320 its reverse (233114224), we get a palindrome (4457227544).

The spelling of 4224113320 in words is "four billion, two hundred twenty-four million, one hundred thirteen thousand, three hundred twenty".